I think that it definitely depends on where you live. Some areas are quite culturally divided, so you might find that finding a British girlfriend is harder. I think that's a social thing rather than purely a prejudice issue.
Some areas are a lot easier. I'm mixed race, and have never had a problem with guys, though there are only a handful of ethnic minority people in my school. In most places people don't care, but its possible that they may find you less attractive because they don't have much experience of Indian guys. Again, a social thing.
Basically, if you're a nice guy and have attractive qualities you will be absolutely fine.